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Simplifying 4(3z + 7) + 5(8 + 6z) = 0 Reorder the terms: 4(7 + 3z) + 5(8 + 6z) = 0 (7 * 4 + 3z * 4) + 5(8 + 6z) = 0 (28 + 12z) + 5(8 + 6z) = 0 28 + 12z + (8 * 5 + 6z * 5) = 0 28 + 12z + (40 + 30z) = 0 Reorder the terms: 28 + 40 + 12z + 30z = 0 Combine like terms: 28 + 40 = 68 68 + 12z + 30z = 0 Combine like terms: 12z + 30z = 42z 68 + 42z = 0 Solving 68 + 42z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + 42z = 0 + -68 Combine like terms: 68 + -68 = 0 0 + 42z = 0 + -68 42z = 0 + -68 Combine like terms: 0 + -68 = -68 42z = -68 Divide each side by '42'. z = -1.619047619 Simplifying z = -1.619047619
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